Solve Quadratic Equations by the Square Root Property
Solve the equation by the square root property.
-$$( 11 x - 12 ) ^ { 2 } = 20$$
A) $\left\{ \frac { 12 - 2 \sqrt { 5 } } { 11 } , \frac { 12 + 2 \sqrt { 5 } } { 11 } \right\}$
B) $\{ - 2 \sqrt { 11 } , 2 \sqrt { 11 } \}$
C) $\left\{ \frac { - 12 - 2 \sqrt { 5 } } { 11 } , \frac { - 12 + 2 \sqrt { 5 } } { 11 } \right\}$
D) $\left\{ - \frac { 8 } { 11 } , \frac { 32 } { 11 } \right\}$

Question

Quizplus · Accepted Answer

First, take the square root of both sides: $\sqrt{(11x - 12)^2} = \sqrt{20}$, which simplifies to $11x - 12 = \pm \sqrt{20}$. Solving for $x$ gives $x = \frac{12 \pm 2\sqrt{5}}{11}$.

Solve Quadratic Equations by the Square Root Property Solve the Equation

Solve Quadratic Equations by the Square Root Property
Solve the Equation